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Tolstykh, Victor Konstantinovich
Tolstykh, Victor Konstantinovich
Professor
Doctor of physico-mathematical sciences (2003)
Speciality: 01.04.14 (Heating physics and theoretical heating engineering)
E-mail:
Website: https://tolstykh.com
Keywords: optimization, identification, optimal control, numerical methods, gradient, partial differential equations, distributed systems, extreme methods.
   
Main publications:
  1. Tolstykh V.K., “O gradiente v zadachakh optimizatsii nestatsionarnykh sistem s raspredelennym upravleniem”, Vychislitelnye metody i programmirovanie, 26:3 (2025), 229-244
  2. Tolstykh V.K., “Ob upravlyaemosti sistem s raspredelennymi parametrami”, Zhurn. vychisl. matem. i matem. fiziki, 64:6 (2024), 959–972
  3. Tolstykh V.K., “Algoritmy optimizatsii sistem s mnogoekstremalnymi funktsionalami”, Zhurn. vychisl. matem. i matem. fiziki, 64:3 (2024), 415–423
  4. Tolstykh V.K., “Collinear gradients method for minimizing smooth functions”, Springer Nature, SN Operations Research Forum, 4,20:1 (2023), 703-716
  5. Tolstykh V.K., Pryamoi ekstremalnyi podkhod dlya optimizatsii sistem s raspredelennymi parametrami, Donetsk: Yugo-Vostok, 1997

https://www.mathnet.ru/eng/person66071
List of publications on Google Scholar
https://elibrary.ru/author_items.asp?spin=9966-6992
https://orcid.org/0000-0001-9055-1102

Publications in Math-Net.Ru Citations
2025
1. V. K. Tolstykh, “On the gradient in optimization problems of nonstationary systems with distributed control”, Num. Meth. Prog., 26:3 (2025),  229–244  mathnet
2024
2. V. K. Tolstykh, “Controllability of distributed parameter systems”, Zh. Vychisl. Mat. Mat. Fiz., 64:6 (2024),  959–972  mathnet  elib; Comput. Math. Math. Phys., 64:6 (2024), 1211–1223 1
3. V. K. Tolstykh, “Algorithms for optimizing systems with multiple extremum functionals”, Zh. Vychisl. Mat. Mat. Fiz., 64:3 (2024),  415–423  mathnet  elib; Comput. Math. Math. Phys., 64:3 (2024), 392–400 1
2023
4. V. K. Tolstykh, K. A. Pshenychnyi, “Computer modelling of non-stationary flows with phase transitions in countercurrent heat exchangers”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:2 (2023),  59–67  mathnet
2003
5. V. K. Tolstykh, N. A. Volodin, V. E. Chernonog, “The optimal control by heat flux in solidifying metal in a multiphase state for the purpose of improving the characteristics of the solid phase”, TVT, 41:3 (2003),  461–464  mathnet; High Temperature, 41:3 (2003), 404–407
1991
6. V. K. Tolstykh, “The gradient method for optimal control of distributed systems”, Differ. Uravn., 27:2 (1991),  303–312  mathnet  mathscinet; Differ. Equ., 27:2 (1991), 219–227
1990
7. V. K. Tolstykh, “On the choice of criterion of identification quality for distributed systems”, Avtomat. i Telemekh., 1990, no. 11,  187–189  mathnet  mathscinet
1989
8. V. K. Tolstykh, “Identifiability of distributed systems”, Avtomat. i Telemekh., 1989, no. 10,  49–56  mathnet  mathscinet  zmath; Autom. Remote Control, 50:10 (1989), 1341–1347
1986
9. V. K. Tolstykh, “Application of the gradient method to problems of optimizing systems with distributed parameters”, Zh. Vychisl. Mat. Mat. Fiz., 26:1 (1986),  137–140  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:1 (1986), 86–88 2

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